By María L. Calvo, Vasudevan Lakshminarayanan
Even supposing the idea and rules of optical waveguides were proven for greater than a century, the applied sciences have in simple terms been learned in fresh a long time. Optical Waveguides: From conception to utilized applied sciences combines the main suitable features of waveguide conception with the examine of present exact waveguiding applied sciences, particularly, photonic units, telecommunication functions, and biomedical optics.
With self-contained chapters written by way of recognized experts, the e-book gains either basics and functions. the 1st 3 chapters research the theoretical foundations and bases of planar optical waveguides in addition to severe optical houses similar to birefringence and nonlinear optical phenomena. the subsequent numerous chapters specialize in modern waveguiding applied sciences that come with photonic units and telecommunications. The booklet concludes with discussions on extra technological purposes, together with biomedical optical waveguides and the opportunity of neutron waveguides.
As optical waveguides play an expanding half in sleek expertise, photonics turns into to the twenty first century what electronics have been to the 20 th century. delivering either novel insights for skilled pros and introductory fabric for newcomers, this publication allows a greater realizing of the hot details era—the photonics century.
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Additional resources for Optical Waveguides. From Theory to Applied Technologies
Yamauchi, J. Shibayama, and H. Nakano, Beam Propagation Method Using Pad´e Approximant Operators, Trans. , J77-C-1, 490 (1994). 46. R. Hadley, A Multi-Step Method for Wide Angle Beam Propagation, Integrated Photon. , 1Tu 15-1, 387 (1993). 47. M. L. Calvo and V. Lakshminarayanan, Spatial Pulse Characterization in Periodically Segmented Waveguides by Using Dynamic Programming, Opt. Commun. 169, 223 (1999). 48. M. L. Calvo and V. Lakshminarayanan, Optimal Design Using Dynamic Programming: Application to Gainguided Segmented Planar Waveguides, in Optics and OptoElecronics: Theory, Devices and Applications, Vol.
The accuracy of the collocation method increases as N is increased. It is straightforward to obtain propagation constants and modal fields, and it is possible to take advantage of any symmetries present in the waveguiding structure. For example, a three-dimensional fiber exhibiting circular symmetry can be treated as a two-dimensional problem. We have discussed in this section beam propagation methods based on the paraxial approximation. Hadley (44; see also 45) introduced the wide-angle beam propagation method based on Pad´e approximant operators.
This method does not require any a priori assumption of the form of the field and the field is generated numerically by the method itself. Consider Eq. 67) for the effective index. 80) As noted, t is the trial field (vide supra) and the trial field is an approximation to the modal field. An important property is that all values of βt will be smaller than the real or exact value of β. Thus higher values of βt will be closer to the exact value. , t (x, y) = X (x)Y (y). Different methods differ in their ansatz for X(x) and Y(y).